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1. Solution table $$\begin{array}{|c|c|c|c|c|c|c|c|} \hline x & f(x) & f’(x) & g(x) & g’(x) & \frac{d}{dx}\big( 3f(x) \big) & \frac{d}{dx} \big( 2f(x) + g(x) \big) & \frac{d}{dx} \big( 3g(x) - f(x) \big) \\ \hline 0 & 3 & -2 & -4 & 3 & 3\cdot (-2) & 2\cdot(-2)+3 & 3\cdot 3 - (-2) \\ \hline 1 & 2 & -1 & 1 & 0 & 3\cdot (-1) & 2\cdot(-1)+0 & 3\cdot 0 - (-1) \\ \hline 2 & 4 & 2 & 3 & 1 & 3\cdot 2 & 2\cdot 2 + 1 & 2\cdot 1 - 2 \\ \hline \end{array}$$
1. a) $$-3.$$ b) $$x = 5/2.$$
2. a) $$-30.$$ b) $$x = 4.$$
3. a) $$21.$$ b) $$x=-6,0.$$
4. a) $$12.$$ b) $$x=-1.$$
5. a) $$9.$$ b) N/A
6. The function $$f(x)$$ has horizontal tangent lines at $$x=5.$$ The function $$g(x)$$ has horizontal tangent lines at $$x=-2,2.$$